C4 chapter 1 - partial fractions

"In this chapter you will learn how an algebraic fraction can be written as a sum of two (or more) simpler fractions called partial fractions..."

C4 section 1.1

You need to be able to: add or subtract two or more simple fractions aas line as the denominators are the same

• Example 1a

$\; \dfrac{2}{5} + \dfrac{5}{9}$
$\; = \dfrac{18}{45} + \dfrac{25}{45}$
$\; = \dfrac{18 + 25}{45}$
$\; = \dfrac{43}{45}$

• Example 1b

$\; \dfrac{4}{x + 5} - \dfrac{3}{x + 4}$
$\; \dfrac{4(x + 4)}{(x + 5)(x + 4)} - \dfrac{3(x + 5)}{(x + 5)(x + 4)}$
$\; \dfrac{4(x + 4)- 3(x + 5)}{(x + 5)(x + 4)}$
$\; \dfrac{4x + 16 - 3x - 15}{(x + 5)(x + 4)}$
$\; \dfrac{x + 15}{(x + 5)(x + 4)}$

C4 exercise 1A

• C4 ex 1A questions

• C4 ex 1A solutions

C4 section 1.2

You need to be able to...